How many positive palindromic integers are 5 digits long 5-digit long and contain 7 or 8?

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01-01-2018
Mathematics

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How many positive palindromic integers are 5 digits long 5-digit long and contain 7 or 8?

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Rod44 Rod44 · Answer 1 · 2018-01-01T15:12:26+01:00

Rod44 Rod44

01-01-2018

If the integers only contain digits 7 or 8 we have to consider 3-digit integers:
777
778
787
877
788
878
887
888
The palindromes would then be:
77777
77877
78787
87778
78887
87878
88788
88888
So there are 8 palindromic integers.

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